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Exponential Stabilization of Second-Order Nonholonomic Chained Systems

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Intelligent Robotics and Applications (ICIRA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8103))

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Abstract

In this paper, an underactuated control method is considered for an X4-AUV with four thrusters and 6-DOFs. A second-order chained form transformation is introduced to the dynamical model by separating a system into three parts of controller model. Then, the Astolfiā€™s discontinuous control method is applied to realize an underactuated control method to stabilize the system. This approach is motivated by the fact that the discontinuous dynamic model without using a chained form transformation assures only a local stability (or controllability) of the dynamic based control system, instead of guaranteeing a global stability of the system. A computer simulation is presented to demonstrate the effectiveness of our approach.

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References

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Zain, Z.M., Watanabe, K., Izumi, K., Nagai, I. (2013). Exponential Stabilization of Second-Order Nonholonomic Chained Systems. In: Lee, J., Lee, M.C., Liu, H., Ryu, JH. (eds) Intelligent Robotics and Applications. ICIRA 2013. Lecture Notes in Computer Science(), vol 8103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40849-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-40849-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40848-9

  • Online ISBN: 978-3-642-40849-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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